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Finding the Third Proportional to 1,286,673,822 and 2,809,309,086

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Solution

The third proportional to 1,286,673,822 and 2,809,309,086 is: 6,133,813,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,673,822 : 2,809,309,086 = 2,809,309,086 : x
  2. Step 2: Convert to fraction form
    1,286,673,822/2,809,309,086 = 2,809,309,086/x
  3. Step 3: Cross multiply
    1,286,673,822x = 2,809,309,086 × 2,809,309,086
  4. Step 4: Simplify right side
    1,286,673,822x = 7,892,217,540,682,155,008
  5. Step 5: Solve for x
    x = 7,892,217,540,682,155,008/1,286,673,822
  6. Step 6: Final answer
    x = 6,133,813,718.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.